Solve the System of Equations y=1.5x-4 y=-x

$y = 1.5 x - 4$ $y = - x$

Step 1

Eliminate the equal sides of each equation and combine.

$1.5 x - 4 = - x$

Step 2

Solve $1.5 x - 4 = - x$ for $x$ .

Move all terms containing $x$ to the left side of the equation.

Add $x$ to both sides of the equation.

$1.5 x - 4 + x = 0$

Add $1.5 x$ and $x$ .

$2.5 x - 4 = 0$

Add $4$ to both sides of the equation.

$2.5 x = 4$

Divide each term in $2.5 x = 4$ by $2.5$ and simplify.

Divide each term in $2.5 x = 4$ by $2.5$ .

$\frac{2.5 x}{2.5} = \frac{4}{2.5}$

Simplify the left side.

Cancel the common factor of $2.5$ .

Cancel the common factor.

$\frac{2.5 x}{2.5} = \frac{4}{2.5}$

Divide $x$ by $1$ .

$x = \frac{4}{2.5}$

Simplify the right side.

Divide $4$ by $2.5$ .

$x = 1.6$

Step 3

Evaluate $y$ when $x = 1.6$ .

Substitute $1.6$ for $x$ .

$y = - (1.6)$

Multiply $- 1$ by $1.6$ .

$y = - 1.6$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(1.6, - 1.6)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(1.6, - 1.6)$

Equation Form:

$x = 1.6, y = - 1.6$

Step 6